Numerical stability analysis of the pseudo-spectral analytical time-domain PIC algorithm

DOI10.1016/J.JCP.2013.10.053zbMath1349.82083arXiv1305.7375OpenAlexW2091586285MaRDI QIDQ348631

Brendan B. Godfrey, Jean-Luc Vay, Irving Haber

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.7375

zbMATH Keywords

numerical stabilityparticle-in-cellrelativistic beampseudo-spectral

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Statistical mechanics of plasmas (82D10) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (15)

Detailed analysis of the effects of stencil spatial variations with arbitrary high-order finite-difference Maxwell solver ⋮ Mitigation of numerical Cerenkov radiation and instability using a hybrid finite difference-FFT Maxwell solver and a local charge conserving current deposit ⋮ Enabling Lorentz boosted frame particle-in-cell simulations of laser wakefield acceleration in quasi-3D geometry ⋮ Efficiency of the perfectly matched layer with high-order finite difference and pseudo-spectral Maxwell solvers ⋮ Suppressing the numerical cherenkov instability in FDTD PIC codes ⋮ A particle-in-cell method for the simulation of plasmas based on an unconditionally stable field solver ⋮ A spectral, quasi-cylindrical and dispersion-free particle-in-cell algorithm ⋮ Controlling the numerical Cerenkov instability in PIC simulations using a customized finite difference Maxwell solver and a local FFT based current correction ⋮ A new field solver for modeling of relativistic particle-laser interactions using the particle-in-cell algorithm ⋮ A quasi-static particle-in-cell algorithm based on an azimuthal Fourier decomposition for highly efficient simulations of plasma-based acceleration: QPAD ⋮ A pseudospectral implicit particle-in-cell method with exact energy and charge conservation ⋮ A hybrid nodal-staggered pseudo-spectral electromagnetic particle-in-cell method with finite-order centering ⋮ Diagnosing numerical Cherenkov instabilities in relativistic plasma simulations based on general meshes ⋮ On numerical errors to the fields surrounding a relativistically moving particle in PIC codes ⋮ Integrating a ponderomotive guiding center algorithm into a quasi-static particle-in-cell code based on azimuthal mode decomposition

Uses Software

• WARP

Cites Work

• Unnamed Item
• Numerical instability due to relativistic plasma drift in EM-PIC simulations
• A domain decomposition method for pseudo-spectral electromagnetic simulations of plasmas
• Numerical stability of relativistic beam multidimensional PIC simulations employing the Esirkepov algorithm
• On the elimination of numerical Čerenkov radiation in PIC simulations
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• High-accuracy Yee algorithm based on nonstandard finite differences: new developments and verifications
• Exact charge conservation scheme for particle-in-cell simulation with an arbitrary form-factor

This page was built for publication: Numerical stability analysis of the pseudo-spectral analytical time-domain PIC algorithm